Question

What is the length of AC¯¯¯¯¯

Answer 1

Answer: AC=12 cm

Step-by-step explanation:

To  solve this problem you must apply the law of sines, as you can see below:

$\frac{a}{sinA}=\frac{b}{sinB}$

Where:

a=13

A=85.2°

B=71.6°

Therefore, you must solve for b, then, you obtain that the lenght AC asked in the problem above is:

$b={sinB}*\frac{a}{sinA}\\b=\frac{sin(71.6)*13}{sin(85.2)}\\b=12$

Answer 2

ANSWER
$AC=12cm$

EXPLANATION

We use the sine rule to obtain,

$\frac{AC}{ \sin(71.6 \degree) } = \frac{13}{ \sin(85.2 \degree) }$

We solve for AC to obtain,

$AC= \frac{13}{ \sin(85.2 \degree) } \times \sin(71.6 \degree)$

We simplify and round to the nearest whole number to obtain,

$AC= 12cm$